6389 ÷ 5 = 1277 R4
We're going to perform division on 6389 with 5 as the divisor.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 2:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 10 from 13 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 3:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 127
Subtract 35 from 38 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 5

Step 4:
5 goes into 39 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 1277
Subtract 35 from 39 to get 4.

The final result is 1277 with a remainder of 4.